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Finding the Fourth Proportional to 5,459.44, 7,544.25 and 4,464.34

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Solution

The fourth proportional to 5,459.44, 7,544.25 and 4,464.34 is: 6,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.44 : 7,544.25 = 4,464.34 : x
  2. Step 2: Convert to fraction form
    5,459.44/7,544.25 = 4,464.34/x
  3. Step 3: Cross multiply
    5,459.44x = 7,544.25 × 4,464.34
  4. Step 4: Simplify right side
    5,459.44x = 33,680,097.05
  5. Step 5: Solve for x
    x = 33,680,097.05/5,459.44
  6. Step 6: Final answer
    x = 6,169.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.